MANIFOLDS WITH NON-NEGATIVE BAKRY-ÉMERY RICCI CURVATURE AND MINIMAL BOUNDARY.

In this note, we prove that a non-compact Riemannian manifold M with non-negative Bakry-Émery Ricci curvature and compact minimal boundary ∂M is the isometric product ∂M ×[0,∞), provided that the potential function is bounded from above and has non-negative derivatives at ∂M along inner normal directions. [ABSTRACT FROM AUTHOR]